Question

Solve the exponential equation. Express the solution set in terms of naturallogarithms.x484 = 7• masIn 7{ln7 - In4 - Ins}O Sin7-

Answer 1

Given the expression:

$4^{x+8}=7$

Expressing this in logarithm form:

$\log _47=x+8$

Next, changing base to the natural logarithm:

$\begin{gathered} \frac{\ln 7}{\ln 4}=x+8 \\ \implies x=\frac{\ln7}{\ln4}-8 \end{gathered}$